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nekit [7.7K]
2 years ago
7

Please help and thank you

Mathematics
1 answer:
zvonat [6]2 years ago
7 0
The hexagonal prism has a an equation of volume = base * height.

Since we already know the base is 8 sq feet, we can plug in some values and use x as a missing value

40 = 8 * x
Divide by 8
5 = x

X is equal to 5.
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The sum of two consecutive natural numbers is 525.<br> Find the numbers.
Luda [366]

Answer:

262 and 263 are consecutive natural numbers whose sum is 525.

Step-by-step explanation:

Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (|x-y| = 1, \forall\,x,y \in \mathbb{N}) We can interpret the statement mathematically by means of the following expression:

x + y = 525

x = n

y = n+1

Where x, y, n \in \mathbb{N}.

This system is reduced to a single equation and solved afterwards:

n +(n+1) = 525

2\cdot n + 1 = 525

2\cdot n = 524

n = 262

Now we evaluate x and y to obtain the natural numbers:

x = 262

y = 263

262 and 263 are consecutive natural numbers whose sum is 525.

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